Question

If the magnitude of intensity of electric field at a distance $x$ on axial line and at a distance $y$ on equational line on a given dipole are equal, then $x:y$ is ?

Answer 1

The ratio of the magnitude of intensity of the electric field on the axial line and the equational line is given as,

$\frac{E_a}{E_e}=\frac{k\times \frac{2p}{x^3}}{k\times \frac{p}{y^3}}$

$\frac{x}{y}=\frac{2^{\frac{1}{3}}}{1}$

Thus, the ratio $x:y$ is $\sqrt[3]{32}:1$.